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Finding the Fourth Proportional to 630.54, 946.02 and 305.86

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Solution

The fourth proportional to 630.54, 946.02 and 305.86 is: 458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 946.02 = 305.86 : x
  2. Step 2: Convert to fraction form
    630.54/946.02 = 305.86/x
  3. Step 3: Cross multiply
    630.54x = 946.02 × 305.86
  4. Step 4: Simplify right side
    630.54x = 289,349.68
  5. Step 5: Solve for x
    x = 289,349.68/630.54
  6. Step 6: Final answer
    x = 458.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.